The Principia: Mathematical Principles of Natural Philosophy QUOTES

1 " This most beautiful system of the sun, planets and comets, could only proceed from the counsel and dominion of an intelligent and powerful Being...
This Being governs all things, not as the soul of the world, but as Lord over all; and on account of his dominion he is wont, to be called Lord God παντοκρατωρ or Universal Ruler. "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

2 " God without dominion, providence, and final causes, is nothing else but Fate and Nature. Blind metaphysical necessity, which is certainly the same always and everywhere, could produce no variety of things. All that diversity of natural things which we find suited to different times and places could arise from nothing but the ideas and will of a Being necessarily existing. "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

3 " Kepler's laws, although not rigidly true, are sufficiently near to the truth to have led to the discovery of the law of attraction of the bodies of the solar system. The deviation from complete accuracy is due to the facts, that the planets are not of inappreciable mass, that, in consequence, they disturb each other's orbits about the Sun, and, by their action on the Sun itself, cause the periodic time of each to be shorter than if the Sun were a fixed body, in the subduplicate ratio of the mass of the Sun to the sum of the masses of the Sun and Planet; these errors are appreciable although very small, since the mass of the largest of the planets, Jupiter, is less than 1/1000th of the Sun's mass. "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

4 " Resistance is usually ascribed to bodies at rest, and impulse to those in motion; but motion and rest, as commonly conceived, are only relatively distinguished; nor are those bodies always truly at rest, which commonly are taken to be so. "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

5 " This most beautiful system of the sun, planets, and comets, could only proceed from the counsel and dominion of an intelligent and powerful Being. And if the fixed stars are the centers of other like systems, these, being formed by the like wise counsel, must be all subject to the dominion of One. "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

6 " Hypotheses non fingo (Latin for "I feign no hypotheses", "I frame no hypotheses", or "I contrive no hypotheses") "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

7 " the one as much as it advances that of the other. If a body impinge upon another, and by its force change the motion of the other, that body also (because of the equality of the mutual pressure) will undergo an equal change, in its own motion, towards the contrary part. "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

8 " I wish we could derive the rest of the phenomena of nature by the same kind of reasoning from mechanical principles; for I am induced by many reasons to suspect that they may all depend upon certain forces by which the particles of bodies, by some causes hitherto unknown, are either mutually impelled towards each other, and cohere in regular figures, or are repelled and recede from each other; which forces being unknown, philosophers have hitherto attempted the search of nature in vain; but I hope the principles here laid down will afford some light either to that or some truer method of philosophy. "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

9 " We are to admit no more causes of natural things than such as are both true and sufficient to explain their appearances. To this purpose the philosophers say that Nature does nothing in vain, and more is in vain when less will serve; for Nature is pleased with simplicity and affects not the pomp of superfluous causes. "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

10 " considerable intellectual achievement. In particular, we should take note that this attitude enabled Newton to explore the conjectured consequences of philosophic questions as a form of “dreaming,” without thereby necessarily undermining in any way the results of the Principia, without thereby producing a “philosophical romance” in the way that Descartes was said to have done. I repeat what Newton said in the last paragraph of that preface: “And although the whole of philosophy is not immediately evident, still it is better to add something to our knowledge day by day than to fill up men’s minds in advance with the preconceptions of hypotheses.” Certain fundamental truths, such as the universality of the force of gravity acting according to the inverse-square law, were derived directly from mathematics; but in Newton’s mind even such a law—once found—had to be fitted into his general scheme of thought, and he came to believe that certain aspects of this law had been known to the ancient sages. Following the reorientation of Newton’s philosophy of nature, he came to believe that interparticle forces of attraction and repulsion exist. Such forces, according to Newton, are sufficiently short-range in their action (as he makes quite explicit in query 31 of the Opticks) that they do not raise a major problem of understanding their mode of action. They do not, in other words, fall into the category of the forces acting at a distance. His studies of matter, and in particular of alchemy, had made the existence of these forces seem reasonable. But does the reasonableness of such short-range forces provide a warrant for belief in the existence of long-range forces acting over huge distances? Consider the gravitational force between the sun and the earth: this force must act through a distance of about one hundred million miles. Even worse from the conceptual point of view is the force between the sun and Saturn, some thousands of millions of miles. Eventually Newton was to conclude that comets are a sort of planet, with the result that the solar gravitational force must extend "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy

11 " This most beautiful system [The Universe] could only proceed from the dominion of an intelligent and powerful Being. "

― Isaac Newton , The Principia: Mathematical Principles of Natural Philosophy